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42404322000 = 2435329243703
BaseRepresentation
bin100111011111011111…
…101001101011010000
311001110020012202020110
4213133133221223100
51143321001301000
631251423441320
73030550534635
oct473737515320
9131406182213
1042404322000
1116a90152817
128275156240
133cca2224c1
1420a3a3418c
151182b13850
hex9df7e9ad0

42404322000 has 160 divisors (see below), whose sum is σ = 141426305280. Its totient is φ = 10917849600.

The previous prime is 42404321983. The next prime is 42404322001. The reversal of 42404322000 is 22340424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404322001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52149 + ... + 295851.

It is an arithmetic number, because the mean of its divisors is an integer number (883914408).

Almost surely, 242404322000 is an apocalyptic number.

42404322000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70713152640).

42404322000 is an abundant number, since it is smaller than the sum of its proper divisors (99021983280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42404322000 is a wasteful number, since it uses less digits than its factorization.

42404322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243758 (or 243742 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42404322000 its reverse (22340424), we get a palindrome (42426662424).

The spelling of 42404322000 in words is "forty-two billion, four hundred four million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8700 10875 11600 14500 17400 21750 29000 34800 43500 58000 87000 174000 243703 487406 731109 974812 1218515 1462218 1949624 2437030 2924436 3655545 3899248 4874060 5848872 6092575 7067387 7311090 9748120 11697744 12185150 14134774 14622180 18277725 19496240 21202161 24370300 28269548 29244360 30462875 35336935 36555450 42404322 48740600 56539096 58488720 60925750 70673870 73110900 84808644 91388625 97481200 106010805 113078192 121851500 141347740 146221800 169617288 176684675 182777250 212021610 243703000 282695480 292443600 339234576 353369350 365554500 424043220 487406000 530054025 565390960 706738700 731109000 848086440 883423375 1060108050 1413477400 1462218000 1696172880 1766846750 2120216100 2650270125 2826954800 3533693500 4240432200 5300540250 7067387000 8480864400 10601080500 14134774000 21202161000 42404322000